Minimal realization of two-dimensional systems via a state space cyclic model

P. N. Paraskevopoulos, G. E. Antoniou

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


The problem of minimal state space realization of two-dimensional systems is considered. The approach followed is, initially, to derive a circuit realization of the given transfer function involving a minimum number of delay elements. To facilitate this realization, the transfer function is expanded into a continued fraction. Using this circuit realization, an algorithm is proposed which readily provides the matrices of the state space model. The simplicity in deriving this model is due to a novel state space model introduced, which is of cyclic structure. Several examples are presented to illustrate the proposed algorithm.

Original languageEnglish
Pages (from-to)491-511
Number of pages21
JournalInternational Journal of Electronics
Issue number4
StatePublished - Apr 1993

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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